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Finding the Fourth Proportional to 17,862.98, 24,650.87 and 9,905

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Solution

The fourth proportional to 17,862.98, 24,650.87 and 9,905 is: 13,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.98 : 24,650.87 = 9,905 : x
  2. Step 2: Convert to fraction form
    17,862.98/24,650.87 = 9,905/x
  3. Step 3: Cross multiply
    17,862.98x = 24,650.87 × 9,905
  4. Step 4: Simplify right side
    17,862.98x = 244,166,867.35
  5. Step 5: Solve for x
    x = 244,166,867.35/17,862.98
  6. Step 6: Final answer
    x = 13,668.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.